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Finding the Fourth Proportional to 333,857.73, 460,724.13 and 180,897.58

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Solution

The fourth proportional to 333,857.73, 460,724.13 and 180,897.58 is: 249,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,857.73 : 460,724.13 = 180,897.58 : x
  2. Step 2: Convert to fraction form
    333,857.73/460,724.13 = 180,897.58/x
  3. Step 3: Cross multiply
    333,857.73x = 460,724.13 × 180,897.58
  4. Step 4: Simplify right side
    333,857.73x = 83,343,880,164.61
  5. Step 5: Solve for x
    x = 83,343,880,164.61/333,857.73
  6. Step 6: Final answer
    x = 249,638.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.